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Finding the Fourth Proportional to 183,729,402,274.77, 275,594,103,412.16 and 183,729,402,274.77

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Solution

The fourth proportional to 183,729,402,274.77, 275,594,103,412.16 and 183,729,402,274.77 is: 275,594,103,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,729,402,274.77 : 275,594,103,412.16 = 183,729,402,274.77 : x
  2. Step 2: Convert to fraction form
    183,729,402,274.77/275,594,103,412.16 = 183,729,402,274.77/x
  3. Step 3: Cross multiply
    183,729,402,274.77x = 275,594,103,412.16 × 183,729,402,274.77
  4. Step 4: Simplify right side
    183,729,402,274.77x = 50,634,739,890,367,299,059,712
  5. Step 5: Solve for x
    x = 50,634,739,890,367,299,059,712/183,729,402,274.77
  6. Step 6: Final answer
    x = 275,594,103,412.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.